Math Problem Statement

Select the domain of the function y = 5x - 2.

Solution

The function given is y=5x2y = 5x - 2. Since this is a linear function (a polynomial of degree 1), the domain of a linear function is all real numbers. This is because there are no restrictions such as divisions by zero or square roots of negative numbers that would limit the values xx can take.

So, the correct answer is B. Domain: All real numbers.

Would you like more details on how domains are determined? Here are five related questions:

  1. What is the domain of a quadratic function, such as y=x2+3x+1y = x^2 + 3x + 1?
  2. How do you find the domain of a rational function, like y=1x2y = \frac{1}{x-2}?
  3. What is the domain of a function involving square roots, such as y=x4y = \sqrt{x-4}?
  4. Can a piecewise function have different domains for different parts?
  5. How does the domain change for logarithmic functions like y=log(x)y = \log(x)?

Tip: Always check for divisions by zero or square roots of negative numbers when determining the domain of more complex functions!

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Domains

Formulas

y = mx + b

Theorems

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Suitable Grade Level

Grades 8-10